Last updated: July 31, 2026
Fraction Calculator
Creators
Dharmendra SinghReviewers
Creators
Dharmendra SinghReviewers
Creators
Dharmendra SinghReviewers
Creators
Dharmendra SinghReviewers
Formula
Use common denominator rules for add/subtract, direct product for multiply, and reciprocal for divide
Where:
- numerator1=First Numerator
- denominator1=First Denominator
- numerator2=Second Numerator
- denominator2=Second Denominator
- operation=Operation
Worked Examples
Addition
Compute 1/2 + 2/3.
- 1Use denominator 6
- 2Numerator: 3 + 4 = 7
- 3Result is 7/6
Subtraction
Compute 5/8 - 1/4.
- 1Convert 1/4 to 2/8
- 2Subtract numerators: 5-2=3
- 3Result is 3/8
Division
Compute 3/5 ÷ 9/10.
- 1Multiply by reciprocal: 3/5 × 10/9
- 2Get 30/45
- 3Reduce to 2/3
Introduction
This calculator handles the four primary fraction operations and always reduces results to lowest terms.
Formula and Method
Fraction Calculator applies Use common denominator rules for add/subtract, direct product for multiply, and reciprocal for divide and returns deterministic outputs from validated inputs.
Validate each required input
Apply the stated formula
Round numeric outputs where needed
Return safe defaults when validation fails
Input Fields
Use these keys exactly as defined in calculation.ts.
- 1
numerator1: First Numerator
- 2
denominator1: First Denominator
- 3
numerator2: Second Numerator
- 4
denominator2: Second Denominator
- 5
operation: Operation
Output Fields
These values map directly to calculation.ts return keys.
- 1
numerator: Simplified numerator of result fraction
- 2
denominator: Simplified denominator of result fraction
- 3
decimalValue: Decimal representation of simplified fraction
Validation Rules
Denominators cannot be zero, divide-by-zero forms are rejected, and operation must be supported.
Finite numeric values are required
Domain restrictions are enforced before solving
Invalid input returns default-safe outputs
Check examples to confirm expected behavior
How to Use This Calculator
Enter inputs, run the calculation, and read the primary output first.
Enter all required values
Click calculate
Review primary output first
Use supporting outputs for interpretation
Practical Uses
This calculator is useful for study, verification, and fast applied math checks.
Fraction homework
Recipe ratio adjustments
Construction measurement arithmetic
Quick decimal conversion
FAQs
What does the Fraction Calculator compute?
It computes Result Numerator and supporting outputs from your inputs.
Which inputs are required?
Required inputs are: First Numerator, First Denominator, Second Numerator, Second Denominator, Operation.
How are invalid inputs handled?
When validation fails, the calculator returns safe default values and does not attempt invalid math.
Are results rounded?
Yes. Numeric outputs are rounded inside calculation.ts (typically to 6 decimal places).
Can I use negative or decimal values?
Integers and decimals are accepted as numeric inputs, but denominator cannot be zero.
How should I verify my answer?
Use the worked examples and compare each output key with your manual steps.